Matches in SemOpenAlex for { <https://semopenalex.org/work/W4384559384> ?p ?o ?g. }
Showing items 1 to 98 of
98
with 100 items per page.
- W4384559384 endingPage "44" @default.
- W4384559384 startingPage "1" @default.
- W4384559384 abstract "Abstract Let K be an imaginary quadratic field and $pgeq 5$ a rational prime inert in K . For a $mathbb {Q}$ -curve E with complex multiplication by $mathcal {O}_K$ and good reduction at p , K. Rubin introduced a p -adic L -function $mathscr {L}_{E}$ which interpolates special values of L -functions of E twisted by anticyclotomic characters of K . In this paper, we prove a formula which links certain values of $mathscr {L}_{E}$ outside its defining range of interpolation with rational points on E . Arithmetic consequences include p -converse to the Gross–Zagier and Kolyvagin theorem for E . A key tool of the proof is the recent resolution of Rubin’s conjecture on the structure of local units in the anticyclotomic ${mathbb {Z}}_p$ -extension $Psi _infty $ of the unramified quadratic extension of ${mathbb {Q}}_p$ . Along the way, we present a theory of local points over $Psi _infty $ of the Lubin–Tate formal group of height $2$ for the uniformizing parameter $-p$ ." @default.
- W4384559384 created "2023-07-18" @default.
- W4384559384 creator A5019240223 @default.
- W4384559384 creator A5032282364 @default.
- W4384559384 creator A5087147472 @default.
- W4384559384 date "2023-07-17" @default.
- W4384559384 modified "2023-09-28" @default.
- W4384559384 title "<i>p</i>-ADIC <i>L</i>-FUNCTIONS AND RATIONAL POINTS ON CM ELLIPTIC CURVES AT INERT PRIMES" @default.
- W4384559384 cites W1550472894 @default.
- W4384559384 cites W1565991082 @default.
- W4384559384 cites W1984039258 @default.
- W4384559384 cites W1992746288 @default.
- W4384559384 cites W1993830279 @default.
- W4384559384 cites W2005607375 @default.
- W4384559384 cites W2029226598 @default.
- W4384559384 cites W2049859779 @default.
- W4384559384 cites W2052772723 @default.
- W4384559384 cites W2077765813 @default.
- W4384559384 cites W2081275098 @default.
- W4384559384 cites W2088142739 @default.
- W4384559384 cites W2088557582 @default.
- W4384559384 cites W2123300868 @default.
- W4384559384 cites W2332436483 @default.
- W4384559384 cites W2334647060 @default.
- W4384559384 cites W2593432474 @default.
- W4384559384 cites W2604330053 @default.
- W4384559384 cites W2728775156 @default.
- W4384559384 cites W2884886252 @default.
- W4384559384 cites W2952345417 @default.
- W4384559384 cites W2964106759 @default.
- W4384559384 cites W2983595752 @default.
- W4384559384 cites W3006636502 @default.
- W4384559384 cites W3013059422 @default.
- W4384559384 cites W3106238887 @default.
- W4384559384 cites W3211807101 @default.
- W4384559384 cites W4210530286 @default.
- W4384559384 cites W4250380097 @default.
- W4384559384 cites W4284889157 @default.
- W4384559384 doi "https://doi.org/10.1017/s147474802300021x" @default.
- W4384559384 hasPublicationYear "2023" @default.
- W4384559384 type Work @default.
- W4384559384 citedByCount "0" @default.
- W4384559384 crossrefType "journal-article" @default.
- W4384559384 hasAuthorship W4384559384A5019240223 @default.
- W4384559384 hasAuthorship W4384559384A5032282364 @default.
- W4384559384 hasAuthorship W4384559384A5087147472 @default.
- W4384559384 hasBestOaLocation W43845593841 @default.
- W4384559384 hasConcept C113429393 @default.
- W4384559384 hasConcept C114614502 @default.
- W4384559384 hasConcept C118615104 @default.
- W4384559384 hasConcept C12657307 @default.
- W4384559384 hasConcept C129844170 @default.
- W4384559384 hasConcept C166437778 @default.
- W4384559384 hasConcept C169654258 @default.
- W4384559384 hasConcept C179603306 @default.
- W4384559384 hasConcept C184992742 @default.
- W4384559384 hasConcept C202444582 @default.
- W4384559384 hasConcept C2524010 @default.
- W4384559384 hasConcept C2780990831 @default.
- W4384559384 hasConcept C33923547 @default.
- W4384559384 hasConcept C75190567 @default.
- W4384559384 hasConcept C80146680 @default.
- W4384559384 hasConcept C95136341 @default.
- W4384559384 hasConceptScore W4384559384C113429393 @default.
- W4384559384 hasConceptScore W4384559384C114614502 @default.
- W4384559384 hasConceptScore W4384559384C118615104 @default.
- W4384559384 hasConceptScore W4384559384C12657307 @default.
- W4384559384 hasConceptScore W4384559384C129844170 @default.
- W4384559384 hasConceptScore W4384559384C166437778 @default.
- W4384559384 hasConceptScore W4384559384C169654258 @default.
- W4384559384 hasConceptScore W4384559384C179603306 @default.
- W4384559384 hasConceptScore W4384559384C184992742 @default.
- W4384559384 hasConceptScore W4384559384C202444582 @default.
- W4384559384 hasConceptScore W4384559384C2524010 @default.
- W4384559384 hasConceptScore W4384559384C2780990831 @default.
- W4384559384 hasConceptScore W4384559384C33923547 @default.
- W4384559384 hasConceptScore W4384559384C75190567 @default.
- W4384559384 hasConceptScore W4384559384C80146680 @default.
- W4384559384 hasConceptScore W4384559384C95136341 @default.
- W4384559384 hasFunder F4320334764 @default.
- W4384559384 hasLocation W43845593841 @default.
- W4384559384 hasOpenAccess W4384559384 @default.
- W4384559384 hasPrimaryLocation W43845593841 @default.
- W4384559384 hasRelatedWork W2116468572 @default.
- W4384559384 hasRelatedWork W2117244912 @default.
- W4384559384 hasRelatedWork W2582450722 @default.
- W4384559384 hasRelatedWork W2964080809 @default.
- W4384559384 hasRelatedWork W2965600901 @default.
- W4384559384 hasRelatedWork W2970861408 @default.
- W4384559384 hasRelatedWork W3011095821 @default.
- W4384559384 hasRelatedWork W3047002544 @default.
- W4384559384 hasRelatedWork W4226193969 @default.
- W4384559384 hasRelatedWork W4287691980 @default.
- W4384559384 isParatext "false" @default.
- W4384559384 isRetracted "false" @default.
- W4384559384 workType "article" @default.